Geodesic
Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe.
Sbornik. Mathematics, Tome 198 (2007) no. 9, pp. 1299-1324 Cet article a éte moissonné depuis la source Math-Net.Ru

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An asymptotic formula as $t\to\infty$ for the solution of the ordinary differential Abel's equation of the first kind $u'_x+u^3-tu-x=0$, which is uniform in the $x$-variable, is constructed and substantiated. Bibliography: 13 titles. 
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A. M. Il'in; B. I. Suleimanov. Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe.. Sbornik. Mathematics, Tome 198 (2007) no. 9, pp. 1299-1324. http://geodesic.mathdoc.fr/item/SM_2007_198_9_a4/

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